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This you see as the north pole forming near the north pole of the solenoid. Like poles repel, unlike poles attract is kind of a misleading analogy(I find it strange that I realized this after reading your question). What actually is happening is that the tiny magnetic dipoles inside the magnetic material(a bar of iron, for example) align with the direction of the magnetic field.
The north pole of a magnet is defined as the pole that, when the magnet is freely suspended, points towards the Earth's North Magnetic Pole in the Arctic. Since opposite poles (north and south) attract, the North Magnetic Pole is actually the south pole of the Earth's magnetic field.